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Finding the Third Proportional to 10,590 and 22,776

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Solution

The third proportional to 10,590 and 22,776 is: 48,984.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590 : 22,776 = 22,776 : x
  2. Step 2: Convert to fraction form
    10,590/22,776 = 22,776/x
  3. Step 3: Cross multiply
    10,590x = 22,776 × 22,776
  4. Step 4: Simplify right side
    10,590x = 518,746,176
  5. Step 5: Solve for x
    x = 518,746,176/10,590
  6. Step 6: Final answer
    x = 48,984.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.